• Journal of the Korean Data and Information Science Society
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• v.20 no.5
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• pp.913-917
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• 2009

The measures of leverage in linear regression has been extended to nonlinear regression models. We consider several curvature measures of nonlinearity in an estimation situation. The relationship between measures of leverage and statistical curvature are explored in nonlinear regression models. The circumstances under which the Jacobian leverage reduces to a tangent plane leverage are discussed in connection with the effective residual curvature of the nonlinear model.

• Communications for Statistical Applications and Methods
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• v.18 no.1
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• pp.131-136
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• 2011

The original Bates-Watts framework applies only to the complete parameter vector. Thus, guidelines developed in that framework can be misleading when the adequacy of the linear approximation is very different for different subsets. The subset curvature measures appear to be reliable indicators of the adequacy of linear approximation for an arbitrary subset of parameters in nonlinear models. Given the specific mean shift outlier model, the standard approaches to obtaining test statistics for outliers are discussed. The accuracy of outlier tests is investigated using subset curvatures.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2000.04b
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• pp.207-214
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• 2000

In this paper, a study of the effenctiveness and convergency of five damage measures for structural damage detection of 2-dimensional truss structure using the extended Kalman filtering algorithm is presented. These damage measures are associated with the change in mode shape and displacement due to structural damage. Damage measures contain the change in natural frequency, mode shape, curvature of mode shape, displacement of static force and curvature of displacement of static force. The effectiveness and convergency of these damage measures by using extended Kalman filtering algorithm are demonstrated with the numerical examples.

• Journal of the Korean Society of Manufacturing Process Engineers
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• v.10 no.2
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• pp.104-109
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• 2011

I present a method of aspheric surface profile measurement using 2nd derivative of local area profile. This method is based on the principle of curvature sensor which measures the local 2nd derivative under test along a line. The profile is then reconstructed from the data on the each point. Unlike subaperture-stiching method and slope detection method, 2nd derivative method has strong points from a geometric point of view in measuring the aspheric surface profile. The second derivative terms of surface profile is an intrinsic property of the test piece, which is independent of its position and tip-tilt motion. The curvature is measured at every local area with high accuracy and high lateral resolution by using White-light scanning interferometry.

• Journal of applied mathematics & informatics
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• v.5 no.2
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• pp.489-498
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• 1998

The influence of observations the on the goodness-of-fit test in maximum likelihood factor analysis is investigated by using the local influence method. under an appropriate perturbation the test statistic forms a surface. One of main diagnostics is the maximum slope of the perturbed surface the other is the direction vector cor-responding to the curvature. These influence measures provide the information about jointly influence measures provide the information about jointly influential observations as well as individ-ually influential observations.

• Geomechanics and Engineering
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• v.18 no.2
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• pp.141-151
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• 2019

In this paper, it is aimed to present a detail investigation about the comparison of static and dynamic behavior of historical masonry arch bridges considering different arch curvature. $G{\ddot{o}}derni$ historical masonry two-span arch bridge which is located in Kulp town, Diyarbakir, Turkey is selected as a numerical application. The bridge takes part in bowless bridge group and built in large measures than the others. The restoration projects were approved and rehabilitation studies have still continued. Finite element model of the bridge is constituted with special software to determine the static and dynamic behavior. To demonstrate the arch curvature effect, the finite element model are reconstructed considering different arch curvature between 2.86 m-3.76 m for first arch and 2.64 m-3.54 m for second arch with the increment of 0.10 m, respectively. Dead and live vehicle loads are taken into account during static analyses. 1999 Kocaeli earthquake ground motion record is considered for time history analyses. The maximum displacements, principal stresses and elastic strains are compared with each other using contour diagrams. It is seen that the arch curvature has more influence on the structural response of historical masonry arch bridges. At the end of the study, it is seen that with the increasing of the arch heights, the maximum displacements, minimum principal stresses and minimum elastic strains have a decreasing trend in all analyses, in addition maximum principal stresses and maximum elastic strains have unchanging trend up to optimum geometry.

• Journal of Korean Physical Therapy Science
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• v.29 no.2
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• pp.38-47
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• 2022

Background: The purpose of this study was to investigate the effect of the combined application of manipulation and stabilization exercises on pain and spinal curvature in patients with chronic back pain. Design: Randomized controlled trial Methods: The research subjects included 24 women in their 40s and 50s who have chronic back pain. The sample was evenly divided into an experimental group, which received the combined application of manipulation and stabilization exercises, and a control group, which received stabilization exercises only. The 30-minute intervention was applied five times a week for eight weeks. A bivariate repeated measures analysis of variances was conducted to identify the differences between the two groups before the experiment, after the fourth week, and at the end of the eight-week experiment. The level of statistical significance was set at.05. This analysis examined the within-group changes and the between-group changes using a paired t-test and an independent t-test, respectively. Results: Changes in pain differed significantly depending on the time of the measurement, the interaction between the time of the measurement and each group, and between the two groups (p<.05). Changes in the curvature of the bones of the neck, the bones of the back, and the lumbar vertebrae differed significantly depending on the time of the measurement and the interaction between the time of the measurement and each group (p<.05). Conclusion: The combined application of manipulation and stabilization exercises demonstrated a positive effect on changes in pain and spinal curvature, and the method is expected to be a useful intervention for reducing pain and improving spinal curvature in patients with back pain.

• The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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• v.18 no.1
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• pp.1-10
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• 2012

Thoracic kyphosis is occasionally used to describe someone with accentuated thoracic curvature, hyperkyphosis is preferred since kyphosis itself refers to the normal sagittal angle of thoracic curvature. The angle of thoracic kyphosis tends to increase with age resulting in hyperkyphosis in some individuals. The persons who suffer from hyperkyphosis are at increased risk for a variety of adverse health outcomes that include musculoskeletal alteration, physical functional limitations, poor quality of life, falls, and even earlier mortality. Hyperkyphosis may develop from vertebral fractures, degenerative disc disease, either muscle weakness, decreased mobility and sensory deficits. The gold-standard orthopaedic technique for assessment of thoracic kyphosis is standing lateral spine radiographs. Other clinical measures are Debrunner kyphometer, inclinometer, flexicurve ruler, arcometer, flexible electrogoniometer and spinal mouse.

• Journal of Institute of Control, Robotics and Systems
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• v.9 no.6
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• pp.448-455
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• 2003

A system design technique of automatic thickness measurement and defect inspection system, which measures the thickness of the ALC(Autoclaved Lightweight Concrete) block and inspects the defect on a realtime basis is proposed. The image processing system was established with a CCD camera, an image grabber, and a personal computer without using assembled measurement equipment. The image obtained by this system was analyzed by a devised algorithm, specially designed for the enhanced measurement accuracy. For the realization of the proposed algorithm, the preprocessing method that can be applied to overcome uneven lighting environment, an enhanced edge decision method using 8 edge-pairs with irregular and rough surface, the unit length decision method in uneven condition with rocking objects, and the curvature calibration method of camera using a constructed grid are developed. The experimental results, show that the required measurement accuracy specification is sufficiently satisfied using our proposed method.

• Proceedings of the Korea Concrete Institute Conference
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• 2000.10a
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• pp.285-290
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• 2000

A mathematical model which can simulate biaxial moment-curvature relations for reinforced concrete column is developed. The developed model is capable of tracing the post-peak behavior of a column after peak load. The model can take into account different sectional shapes of a column and various constitutive models of confined concrete. The developed model is used to evaluate constitutive models of confined concrete under concentric loading, suggested by different researchers. Error function which measures the overall constitutive behavior of a confined concrete is intrcduced. The constitutive model minimizing this error function is selected and is incorporated into the developed model in order to investigate the effect of main parameters on the general column behavior.